Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 4 - Section 4.4 - Multiplying Polynomials - 4.4 Exercises: 52

Answer

$25r^{2}-16s^{2}$

Work Step by Step

From Page 301, we know that the product of a sum and difference of two terms $x$ and $y$ is given by the following equation: $(x+y)(x-y)=x^{2}-y^{2}$. Therefore, $(5r+4s)(5r-4s)=(5r)^{2}-(4r)^{2}=5^{2}r^{2}-4^{2}s^{2}=25r^{2}-16s^{2}$.
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